AdaHRBF: Gradient-Adaptive Hermite-Birkhoff Radial Basis Function Interpolants for Three-dimensional Stratigraphic Implicit Modeling
Three-dimensional Stratigraphic Implicit Modeling Using Gradient-Adaptive Hermite-Birkhoff Radial Basis Function Interpolants
This is a Matlab version of implicit modeling method using an Hermite-Birkhoff radial basis function (HRBF) formulation with an adaptive gradient magnitude (AdaHRBF) for continuous three-dimesnional stratigrahic potential field (3D SPF) modeling of multiple stratigraphic interfaces.
As described in AdaHRBF: Gradient-Adaptive Hermite-Birkhoff Radial Basis Function Interpolants for Three-dimensional Stratigraphic Implicit Modeling by Baoyi Zhang1,
Linze Du1,
Umair Khan2,
Yongqiang Tong1,3,
Lifang Wang3,4 and
Hao Deng1*.
1Key laboratory of Metallogenic Prediction of Nonferrous Metals & Geological Environment Monitoring (Ministry of Education) / School of Geosciences & Info-Physics, Central South University; 2Institute of Deep-Sea Science and Engineering, Chinese Academy of Sciences; 3Wuhan ZGIS Science & Technology Co. Ltd.; 4School of Geomatics and Geography, Hunan Vocational College of Engineering
matlab2021a
According to the comprehensive stratigraphic column, the burial depth of each stratigraphic interface relative to the top surface of the Quaternary was used as the attribute value of the SPF.We extracted the geological boundary points with 3D coordinates from 2D cross-sections. The attribute points and attitude points of each stratigraphic interface and fault plane extracted from the geological map and cross-sections were used as the original dataset for 3D SPF modeling. .
The proposed stratigraphic potential field modeling by AdaHRBF interpolants can provide a suitable basic model for subsequent geosciences numerical simulation.
The attribute points and attitude points dataset is available in Data file.
Run Experiment_AdaHRBF.m to start building a model with multiple stratigraphic interfaces.
This extension is released under a creative commons license which allows for personal and research use only. For a commercial license please contact the authors.